Home
Class 12
MATHS
If omega is an imaginary cube root of un...

If `omega` is an imaginary cube root of unity, then `(1+omega+omega^(2))^(7)` equals :

A

`128omega`

B

`-128omega`

C

`128omega^(2)`

D

`-128omega^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|58 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Latest Questions from AJEE/JEE examinations|10 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If omega is an imaginary cube root of unity than (1+omega-omega^(2))^(7)=

If omega is an imaginary cube root of unity ,then the value of (1-omega+omega^(2)).(1-omega^2+omega^(4)).(1-omega^(4)+omega^(8)) ………….(2n factors) is

Cube roots of unity are in

If omega is a cube root of unity (1-2 omega+omega^(2))^(6)=

If omega is an imaginary cube root of unity then the value of [[1+omega , omega^2 , -omega],[1+omega^2 , omega , -omega^2 ],[omega^2+omega , omega , -omega^2 ]] =

Let omega is an imaginary cube root of unity then the value of 2(1+omega)(1+omega^(2))+ 3(2 omega+1)(2 omega^(2)+1)+... +(n+1)(n omega+1)(n omega^(2)+1) is

If omega is an imaginary cube root of unity, then the value of |[a,b omega^2,a omega],[b omega,c,b omega^2],[c omega^2, a omega,c]|

If omega is a non real cube root of unity then (a+b)(a+b omega)(a+b omega^(2)) is

If omega is an imaginary cube root of unity ,then the value of [{:(1,omega^(2),1-omega^(4)),(omega,1,1+omega^(5)),(1,omega,omega^(2)):}] is

If w is a complex cube-root of unity then,